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Properties of Matter question

2023 · Q154
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Properties of Matter question

2023 · Q154

NEETPhysicsProperties of MatterMCQ+4 / −1

Let a wire be suspended from the ceiling (rigid support) and stretched by a weight WWW attached at its free end. The longitudinal stress at any point of cross-sectional area AAA of the wire is :

  1. A
    W/AW / AW/A
  2. B
    W/2AW / 2 AW/2A
  3. C
    Zero
  4. D
    2W/A2 W / A2W/A
View written solutionFree

Correct answer: A

When a wire is suspended from the ceiling and stretched by a weight W attached at its free end, the force acting on the wire is equal to the weight W. This force causes longitudinal stress in the wire.

Longitudinal stress is defined as the force acting on an object divided by its cross-sectional area. In this case, the force acting on the wire is W, and the cross-sectional area of the wire is A.

Thus, the longitudinal stress at any point of the wire with cross-sectional area A is given by :

$$\text{Longitudinal Stress} = \frac{\text{Force}}{\text{Area}} = \frac{W}{A}$$

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